 By Dmitry Fuchs,Serge Tabachnikov,Micaela Krieger

Das Buch enthält 30 Vorlesungen zu unterschiedlichen Themen, die einen Großteil der mathematischen Landschaft abdecken. Klar und verständlich werden die Leser zu zahlreichen Resultaten geführt, die zumeist nicht Teil des mathematischen Curriculums sind. Es entsteht ein Gesamtbild der Mathematik, in dem Leser die Zusammenhänge zwischen klassischen und modernen Ideen der Algebra, der Kombinatorik, der Geometrie und der Topologie erschließen können. Mit über four hundred Zeichnungen, künstlerischen Illustrationen und rund a hundred Mathematiker-Porträts.

Best combinatorics books

The 1st a part of this article covers the most graph theoretic issues: connectivity, timber, traversability, planarity, colouring, overlaying, matching, digraphs, networks, matrices of a graph, graph theoretic algorithms, and matroids. those ideas are then utilized within the moment half to difficulties in engineering, operations examine, and technology in addition to to an attractive set of miscellaneous difficulties, hence illustrating their vast applicability.

Download e-book for kindle: Fundamental Number Theory with Applications, Second Edition by Richard A. Mollin

An replace of the main obtainable introductory quantity concept textual content to be had, primary quantity idea with purposes, moment version offers a mathematically rigorous but easy-to-follow therapy of the basics and functions of the topic. The titanic volume of reorganizing makes this version clearer and extra straight forward in its assurance.

Periodicities in Nonlinear Difference Equations (Advances in by E.A. Grove,G. Ladas PDF

Sharkovsky's Theorem, Li and Yorke's "period 3 implies chaos" outcome, and the (3x+1) conjecture are attractive and deep effects that reveal the wealthy periodic personality of first-order, nonlinear distinction equations. thus far, even if, we nonetheless comprehend unusually little approximately higher-order nonlinear distinction equations.

The concept that of Wiener chaos generalizes to an infinite-dimensional atmosphere the houses of orthogonal polynomials linked to chance distributions at the genuine line. It performs a very important position in glossy likelihood thought, with applicationsranging from Malliavin calculus to stochastic differential equations and fromprobabilistic approximations to mathematical finance.

Extra resources for Ein Schaubild der Mathematik: 30 Vorlesungen über klassische Mathematik (German Edition)

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